Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model
DOI10.1142/s0218202523500021zbMath1522.35381OpenAlexW4313524450MaRDI QIDQ6102909
Publication date: 23 June 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202523500021
relative entropyhydrodynamic limitCucker-Smale modelsingular communication weightEuler-alignment model
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
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